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Finding the Fourth Proportional to 24,643.70, 36,965.55 and 8,227.70

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Solution

The fourth proportional to 24,643.70, 36,965.55 and 8,227.70 is: 12,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.70 : 36,965.55 = 8,227.70 : x
  2. Step 2: Convert to fraction form
    24,643.70/36,965.55 = 8,227.70/x
  3. Step 3: Cross multiply
    24,643.70x = 36,965.55 × 8,227.70
  4. Step 4: Simplify right side
    24,643.70x = 304,141,455.74
  5. Step 5: Solve for x
    x = 304,141,455.74/24,643.70
  6. Step 6: Final answer
    x = 12,341.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.